I think the answer is Beth can make 8 dozen gingerbread men
Answer:
(a) 0.2707
(b) 0.8576
Step-by-step explanation:
Answer: x = 4 and x = -3/2
Procedure:
1) Given: 2x^2 - 5x - 12 = 0
2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0
3) Rearrange: (2x)^2 -5(2x) - 24 = 0
4) Notice that the common factor is (2x)
5) Set the parenthesis with the common factor inside:
(2x ) (2x ) =0
6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)
(2x - )(2x + ) = 0
7) find two numbers that sum up - 5x and its product is -24.
- 8 + 3 = - 5
(-8)(+3) = -24
=> the numbers in the factors are -8 and +3
(2x - 8) (2x + 3) = 0
That is the factored equation. Now you can solve
8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4
b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2
Answer: the two solutions are x = 4 and x = -3/2
Answer:
n=5y-7.5
Step-by-step explanation:
The distance around the pool is 43.96 m.
Solution:
The distance across the circle is <em>diameter</em>.
The distance around the circle is <em>circumference</em>.
The value of π = 3.14
Diameter of the circle = 14 m
Circumference of the circle = πd
= 3.14 × 14 m
Circumference of the circle = 43.96 m
The distance around the pool is 43.96 m.